Abstract
We propose a time-frequency formulation for the optimum detection of Gaussian signals in white Gaussian noise based on hyperbolic class QTFRs such as the Altes distribution. We apply the detection scheme successfully to hyperbolic chirps and slowly fluctuating hyperbolic point targets, and show that the estimation of the latter's unknown parameters depends upon the hyperbolic ambiguity function. We also propose a general class of receivers in the hyperbolic class that provides a coherent framework between existing classical and new detectors. Furthermore, we propose the estimation of the parameters of hyperbolic chirps using phase unwrapping with linear regression of the phase data that produces simple and unbiased estimators whose variance attains the Cramer-Rao lower bound at signal-to-noise ratios (SNRs) higher than 12 dB. In comparison, we show that the maximum likelihood estimation technique gives accurate estimates at lower SNR (>-1 dB), but at the cost of high computational complexity.
Original language | English (US) |
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Title of host publication | Proc IEEE SP Int Symp Time Freq Time Scale Anal |
Editors | Anon |
Publisher | IEEE |
Pages | 369-372 |
Number of pages | 4 |
State | Published - 1994 |
Externally published | Yes |
Event | Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Philadelphia, PA, USA Duration: Oct 25 1994 → Oct 28 1994 |
Other
Other | Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis |
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City | Philadelphia, PA, USA |
Period | 10/25/94 → 10/28/94 |
ASJC Scopus subject areas
- Engineering(all)